An application of variational approach to a class of damped vibration problems with impulsive effects on time scales

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• 作者：Jianwen Zhou (1)
  Yanning Wang (1)
  Yongkun Li (1)
  
  1. Department of Mathematics ; Yunnan University ; Kunming ; Yunnan ; 650091 ; People鈥檚 Republic of China
  
• 关键词：damped vibration problems ; impulse ; time scales
• 刊名：Boundary Value Problems
• 出版年：2015
• 出版时间：December 2015
• 年：2015
• 卷：2015
• 期：1
• 全文大小：1,330 KB
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• 刊物主题：Difference and Functional Equations; Ordinary Differential Equations; Partial Differential Equations; Analysis; Approximations and Expansions; Mathematics, general;
• 出版者：Springer International Publishing
• ISSN：1687-2770

文摘

In this paper, we present a new approach via variational methods and critical point theory to obtain the existence and multiplicity of solutions to a class of damped vibration problems with impulsive effects on time scales. By establishing a proper variational set, two existence results and two multiplicity results are obtained. Finally, one example is presented to illustrate the feasibility and effectiveness of our results.